Free q-Deformed Relativistic Wave Equations by Representation Theory

Details Free q-Deformed Relativistic Wave Equations by Representation Theory Free q-Deformed Relativistic Wave Equations by Representation Theory

2001-11-20

arxiv.org/abs/hep-th/0111172v2

Eur.Phys.J.C30:435-445,2003

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX; enlarged introduction and conclusion, added references, some minor improvements

Scientific paper

10.1140/epjc/s2003-01306-2

In a representation theoretic approach a free q-relativistic wave equation must be such, that the space of solutions is an irreducible representation of the q-Poincare algebra. It is shown how this requirement uniquely determines the q-wave equations. As examples, the q-Dirac equation (including q-gamma matrices which satisfy a q-Clifford algebra), the q-Weyl equations, and the q-Maxwell equations are computed explicitly.

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